6254008320 has 384 divisors, whose sum is σ = 23146905600. Its totient is φ = 1412038656.

The previous prime is 6254008303. The next prime is 6254008333. The reversal of 6254008320 is 238004526.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×6254008320³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27309966 + ... + 27310194.

It is an arithmetic number, because the mean of its divisors is an integer number (60278400).

Almost surely, 2^6254008320 is an apocalyptic number.

6254008320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6254008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11573452800).

6254008320 is an abundant number, since it is smaller than the sum of its proper divisors (16892897280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6254008320 is a wasteful number, since it uses less digits than its factorization.

6254008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6254008320 is about 79082.2882825225. The cubic root of 6254008320 is about 1842.4094458925.

The spelling of 6254008320 in words is "six billion, two hundred fifty-four million, eight thousand, three hundred twenty".